please solve ASAP! i’ll mark u brainliest and all spam will be reported factorise
4x^2 -12x +9 -49y^2
Answers
Answer:
Let I=∫
4x
2
+9
dx
⟹I=∫
4(x
2
+
4
9
)
dx
⟹I=2∫
x
2
+(
2
3
)
2
dx
As we know that
∫
a
2
+x
2
dx=
2
x
x
2
+a
2
+
2
a
2
ln∣x+
x
2
+a
2
∣+C
Here a=
2
3
⟹I=2(
2
x
x
2
+
4
9
+
2
9/4
ln
∣
∣
∣
∣
∣
∣
x+
x
2
+
4
9
∣
∣
∣
∣
∣
∣
)+C
⟹I=
2
x
4(x
2
+
4
9
)
+
4
9
ln
∣
∣
∣
∣
∣
∣
x+
4
4x
2
+9
∣
∣
∣
∣
∣
∣
+C
⟹I=
2
x
4x
2
+9
+
4
9
ln
∣
∣
∣
∣
∣
∣
2
2x
+
2
4x
2
+9
∣
∣
∣
∣
∣
∣
+C
⟹I=
2
x
4x
2
+9
+
4
9
ln
∣
∣
∣
2x+
4x
2
+9
∣
∣
∣
+C
Step-by-step explanation:
This article is about devices designed to perform tasks. For other uses, see Machine (disambiguation).
"Machinery" redirects here. For other uses, see Machinery (disambiguation).
A machine (or mechanical device) is a mechanical structure that uses power to apply forces and control movement to perform an intended action. Machines can be driven by animals and people, by natural forces such as wind and water, and by chemical, thermal, or electrical power, and include a system of mechanisms that shape the actuator input to achieve a specific application of output forces and movement. They can also include computers and sensors that monitor performance and plan movement, often called mechanical systems.
A Honda F1 racecar engine.
Renaissance natural philosophers identified six simple machines which were the elementary devices that put a load into motion, and calculated the ratio of output force to input force, known today as mechanical advantage.[1]